alleryStart learning →A right triangle has legs measuring 3 units and 4 units. What is the length of the hypotenuse?
A5 units
B7 units
C25 units
D12 units
Answer & Solution
Correct answer: A. 5 units
1. Apply the Pythagorean Theorem: a squared plus b squared equals c squared.
2. Substitute the legs: 3 squared plus 4 squared equals c squared.
3. Simplify: 9 plus 16 equals 25, so c squared equals 25.
4. Take the square root of both sides: c equals 5.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 9 "Math Models and Geometry", section 9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem_
Keep practising Math Models and Geometry
Browse all Math Models and Geometry questions for Key Stage 3 (KS3), or explore more Mathematics topics.
Related questions
Pick the pile worth moreA triangle has a base of 10 centimeters and a height of 6 centimeters. Using the triangle A rectangle has a perimeter of 50 inches and a width of 10 inches. What is its length?A rectangle has a length of 32 meters and a width of 20 meters. What is its area?A rectangle has a length of 32 meters and a width of 20 meters. What is its perimeter?If two triangles are similar, what must be true about their corresponding side lengths?A right triangle has a hypotenuse of 13 units and one leg of 5 units. What is the length oThe Pythagorean Theorem relates the two legs of a right triangle to its hypotenuse. Which